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Verification of the Weather Research and Forecasting Model for AlbertaPennelly, Clark William Unknown Date
No description available.
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Exploiting weather forecast data for cloud detectionMackie, Shona January 2009 (has links)
Accurate, fast detection of clouds in satellite imagery has many applications, for example Numerical Weather Prediction (NWP) and climate studies of both the atmosphere and of the Earth’s surface temperature. Most operational techniques for cloud detection rely on the differences between observations of cloud and of clear-sky being more or less constant in space and in time. In reality, this is not the case - different clouds have different spectral properties, and different cloud types are more or less likely in different places and at different times, depending on atmospheric conditions and on the Earth’s surface properties. Observations of clear sky also vary in space and time, depending on atmospheric and surface conditions, and on the presence or absence of aerosol particles. The Bayesian approach adopted in this project allows pixel-specific physical information (for example from NWP) to be used to predict pixel-specific observations of clear sky. A physically-based, spatially- and temporally-specific probability that each pixel contains a cloud observation is then calculated. An advantage of this approach is that identification of ambiguously classed pixels from a probabilistic result is straightforward, in contrast to the binary result generally produced by operational techniques. This project has developed and validated the Bayesian approach to cloud detection, and has extended the range of applications for which it is suitable, achieving skills scores that match or exceed those achieved by operational methods in every case. High temperature gradients can make observations of clear sky around ocean fronts, particularly at thermal wavelengths, appear similar to cloud observations. To address this potential source of ambiguous cloud detection results, a region of imagery acquired by the AATSR sensor which was noted to contain some ocean fronts, was selected. Pixels in the region were clustered according to their spectral properties with the aim of separating pixels that correspond to different thermal regimes of the ocean. The mean spectral properties of pixels in each cluster were then processed using the Bayesian cloud detection technique and the resulting posterior probability of clear then assigned to individual pixels. Several clustering methods were investigated, and the most appropriate, which allowed pixels to be associated with multiple clusters, with a normalized vector of ‘membership strengths’, was used to conduct a case study. The distribution of final calculated probabilities of clear became markedly more bimodal when clustering was included, indicating fewer ambiguous classifications, but at the cost of some single pixel clouds being missed. While further investigations could provide a solution to this, the computational expense of the clustering method made this impractical to include in the work of this project. This new Bayesian approach to cloud detection has been successfully developed by this project to a point where it has been released under public license. Initially designed as a tool to aid retrieval of sea surface temperature from night-time imagery, this project has extended the Bayesian technique to be suitable for imagery acquired over land as well as sea, and for day-time as well as for night-time imagery. This was achieved using the land surface emissivity and surface reflectance parameter products available from the MODIS sensor. This project added a visible Radiative Transfer Model (RTM), developed at University of Edinburgh, and a kernel-based surface reflectance model, adapted here from that used by the MODIS sensor, to the cloud detection algorithm. In addition, the cloud detection algorithm was adapted to be more flexible, making its implementation for data from the SEVIRI sensor straightforward. A database of ‘difficult’ cloud and clear targets, in which a wide range of both spatial and temporal locations was represented, was provided by M´et´eo-France and used in this work to validate the extensions made to the cloud detection scheme and to compare the skill of the Bayesian approach with that of operational approaches. For night land and sea imagery, the Bayesian technique, with the improvements and extensions developed by this project, achieved skills scores 10% and 13% higher than M´et´eo-France respectively. For daytime sea imagery, the skills scores were within 1% of each other for both approaches, while for land imagery the Bayesian method achieved a 2% higher skills score. The main strength of the Bayesian technique is the physical basis of the differentiation between clear and cloud observations. Using NWP information to predict pixel-specific observations for clear-sky is relatively straightforward, but making such predictions for cloud observations is more complicated. The technique therefore relies on an empirical distribution rather than a pixel-specific prediction for cloud observations. To try and address this, this project developed a means of predicting cloudy observations through the fast forward-modelling of pixel-specific NWP information. All cloud fields in the pixel-specific NWP data were set to 0, and clouds were added to the profile at discrete intervals through the atmosphere, with cloud water- and ice- path (cwp, cip) also set to values spaced exponentially at discrete intervals up to saturation, and with cloud pixel fraction set to 25%, 50%, 75% and 100%. Only single-level, single-phase clouds were modelled, with the justification that the resulting distribution of predicted observations, once smoothed through considerations of uncertainties, is likely to include observations that would correspond to multi-phase and multi-level clouds. A fast RTM was run on the profile information for each of these individual clouds and cloud altitude-, cloud pixel fraction- and channel-specific relationships between cwp (and similarly cip) and predicted observations were calculated from the results of the RTM. These relationships were used to infer predicted observations for clouds with cwp/cip values other than those explicitly forward modelled. The parameters used to define the relationships were interpolated to define relationships for predicted observations of cloud at 10m vertical intervals through the atmosphere, with pixel coverage ranging from 25% to 100% in increments of 1%. A distribution of predicted cloud observations is then achieved without explicit forward-modelling of an impractical number of atmospheric states. Weights are applied to the representation of individual clouds within the final Probability Density Function (PDF) in order to make the distribution of predicted observations realistic, according to the pixel-specific NWP data, and to distributions seen in a global reference dataset of NWP profiles from the European Centre for Medium Range Weather Forecasting (ECMWF). The distribution is then convolved with uncertainties in forward-modelling, in the NWP data, and with sensor noise to create the final PDF in observation space, from which the conditional probability that the pixel observation corresponds to a cloud observation can be read. Although the relatively fast computational implementation of the technique was achieved, the results are disappointingly poor for the SEVIRI-acquired dataset, provided by M´et´eo-France, against which validation was carried out. This is thought to be explained by both the uncertainties in the NWP data, and the forward-modelling dependence on those uncertainties, being poorly understood, and treated too optimistically in the algorithm. Including more errors in the convolution introduces the problem of quantifying those errors (a non-trivial task), and would increase the processing time, making implementation impractical. In addition, if the uncertianties considered are too high then a PDF flatter than the empirical distribution currently used would be produced, making the technique less useful.
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The Verification of different model configurations of the Unified Atmospheric Model over South AfricaMahlobo, Dawn Duduzile January 2013 (has links)
In 2006 a Numerical Weather Prediction (NWP) model known as the Unified Model
(UM) from the United Kingdom Meteorological Office (UK Met Office) was installed at
the South African Weather Service (SAWS). Since then it has been used operationally
at SAWS, replacing the Eta model that was previously used. The research documented
in this dissertation was inspired by the need to verify the performance of the UM in
simulating and predicting weather over South Africa. To achieve this aim, three model
configurations of the UM were compared against each other and against observations.
Verification of rainfall as well as minimum and maximum temperature for the year 2008
was therefore done to achieve this. 2008 is the first year since installation, where all the
configurations of the UM used in the study are present. For rainfall verification the
model was subjectively verified using the eyeball verification for the entire domain of
South Africa, followed by objective verification of categorical forecasts for rainfall
regions grouped according to standardized monthly rainfall totals obtained by cluster
analysis and finally objective verification using continuous variables for selected stations
over South Africa. Minimum and maximum temperatures were subjectively verified
using the eyeball verification for the entire domain of South Africa, followed by objective
verification of continuous variables for selected stations over South Africa, grouped
according to different heights above mean sea level (AMSL). Both the subjective and
objective verification of the three model configurations of the UM (for both rainfall as
well as the minimum and maximum temperatures) suggests that 12km UM simulation
with DA gives better and reliable results than the 12km and 15km UM simulations
without DA. It was further shown that although there was no significant difference
between the model outputs from the 12km and the 15km UM without DA, the 15km UM
simulation without DA, proved to me more reliable and accurate than the 12km UM
simulation without DA in simulating minimum and maximum temperatures over South
Africa, on the other hand the 12km UM simulation without DA is more reliable and
accurate than the 15km UM simulation without DA in simulating rainfall over South
Africa. / Dissertation (MSc)--University of Pretoria, 2013. / gm2014 / Geography, Geoinformatics and Meteorology / unrestricted
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The influence of topography and model grid resolution on extreme weather forecasts over South AfricaMaisha, Thizwilondi Robert January 2014 (has links)
The topography of South Africa (SA) shows complex variations and is one the main factors that determine the daily weather patterns and climate characteristics. It affects for example temperature, winds and rainfall (intensity and distribution). Mesoscale numerical weather prediction (NWP) models are used to simulate atmospheric motions with high horizontal grid resolution using appropriate cumulus parameterisation schemes. They also allow users to investigate the effects of topography and surface heating on the development of convective systems.
The Weather Research and Forecasting (WRF) model was applied over the complex terrain of SA to simulate extreme weather events and evaluate the influence of topography and grid resolution on the accuracy of weather simulations. This includes heavy precipitation event that lead to floods over Limpopo region of SA which was caused by the tropical depression Dando for the period 16 -18 January 2012; the heat wave events over Limpopo region for the period 22-26 October 2011 and also over Cape region for the period 15-18 January 2012. The Grell-Devenyi Ensemble (GDE) cumulus parameterization scheme was applied. The WRF model was run at a horizontal resolution of 9 km with 3 km nests, one over Limpopo and another over Cape region respectively. A total of 210 South African Weather Service (SAWS) synoptic stations data were used to verify the model, with 37 stations located over Limpopo and 88 over Cape region. The WRF model simulations are able to capture the spatial and temporal distribution of the heat wave over Limpopo and Cape regions respectively. The model verification with observational data showed that the performance statistics are in the expected range. The experiments without topography give unrealistic verification scores. The increase of model grid resolution from 9 to 3 km improved the spatial and temporal distribution and performance statistics. The above findings are in general similar for the two heat wave events, although the influence of topography over Cape region is not too pronounced. This can be attributed to different topographic variations over the Cape region as compared to the Limpopo region.
The WRF model captured well the spatial and temporal distribution of rainfall patterns; verification statistics shows over-prediction of its intensity in simulation with topography. The simulation without topography shows unrealistic space and intensity of rain distribution. An increase in model grid resolution from 9 to 3 km shows improved spatial and temporal distribution of rainfall. The importance of high grid resolution and the use of non-hydrostatic equations are confirmed by the analysis of the vertical velocity distribution and moisture fluxes.
The overall findings proved that topography plays a major role to weather and climate over SA. The high grid resolution allows for a better topography representation and capturing convective activities by the use of nonhydrostatic approximations. Therefore the WRF model proved to be useful forecasting tool for weather and climate simulations and can be used for operational weather forecasting over South Africa. / Dissertation (MSc)--University of Pretoria, 2014. / lk2014 / Geography, Geoinformatics and Meteorology / MSc / Unrestricted
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Observing and Modeling Urban Thunderstorm Modification Due to Land Surface and Aerosol EffectsPaul E. Schmid (5930237) 12 May 2020 (has links)
<p>Urban meteorology has developed in parallel to other
sub-fields in the science, but in many ways remains poorly described. In
particular, the study of urban rainfall modification remains behind compared to
other comparable features. Urban rainfall modification refers to the change of
a precipitation feature as it crosses an urban area. Typically, this manifests
as rainfall initiation, local suppression, local invigoration, and/or storm
morphology changes. Research in the prior decades have shown urban rainfall
modification to arise from a combination of land-atmosphere and aerosol-cloud
interaction. Urban areas create a greater surface roughness, which produces
local convergence and divergence, modifying local thunderstorm inflow and
morphology. The land surface also generates vertical velocity perturbations
which can act to initiate or modify existing convection. Urban aerosols act as
CCN to perturb existing cloud and precipitation characteristics. Higher CCN
narrows the cloud droplet distribution, creating more smaller cloud droplets,
and initially reducing precipitation efficiency by keeping more liquid water in
the cloud than what would form into rain. The CCN-cloud interaction eventually
increasing heavy rainfall production as graupel riming is enhanced by the
narrower cloud droplet distribution, leading to more larger raindrops and
higher rain in areas.</p><p>This dissertation addresses the observation and modeling of
urban thunderstorm interaction from both the land surface and aerosol
perspective. It reassesses the original urban rainfall anomaly: The La Porte
Anomaly. First analyzed in the late 1960s, the La Porte Anomaly was ultimately
dismissed by 1980 as either a temporary, biased, or otherwise unexplainable
observation, as the process level understanding had yet to be explained. The
contemporary analysis utilizes all existing data and objective optimal
interpolation to show that a rainfall anomaly downwind of Chicago has indeed
existed at least since the 1930s. The current rainfall anomaly exists as a
broad region of warm season rainfall downwind of Chicago that is 20-30% greater
than the regional average. Using synoptic parameters, the rainfall anomaly is
shown to be independent of wind direction and most closely associated with
local land surface forcing. Weekdays, where local aerosol loading has been
measured at 40% or more greater than weekends, have up to 50% more warm season
rainfall than weekends. The analysis is able to show that there is a land
surface and aerosol contribution to the rainfall anomaly, but cannot
unambiguously separate them.</p><p>In order to separate the land
surface and aerosol effects on urban rainfall distribution, a numerical model
was improved to better handle urban weather interaction. The Regional
Atmospheric Modeling System (RAMS 6.0) was chosen for its base land surface and
cloud physics parameterization. The Town Energy Budget (TEB) urban canopy model
was coupled to RAMS to handle the urban land surface. The Simple Photochemical
Module (SPM) was coupled with the cloud physics to handle conversion of surface
emissions to CCN. The model utilized an external traffic simulation to create a
realistic diurnal and weekly cycle of surface emissions, based on human
behavior. The new Urban RAMS was used to study the land surface sensitivity of
city size and of aerosol loading in two studies using the Real Atmosphere
Idealized Land surface (RAIL) method, by which all non-urban features of the
land surface are removed to isolate the urban effects. The city size study
determined that the land surface of a given city eventually has a maximum
effect on thunderstorm modifying potential, and that rainfall does not continue
to increase or decrease locally for cities larger than a certain size based on
that storm’s own motion. The aerosol-cloud analysis corroborated previous
observations on the non-linear effects of aerosol loading on clouds. It also
demonstrated that understanding the aerosol effect in an urban environment
requires high resolution observations of precipitation change. In a single
thunderstorm, regions can be both impacted by local rainfall rate increases and
decreases from urban aerosols, leading to little total change in precipitation.
But the rainfall rate changes can significantly affect soil moisture and
drought potential in and around urban areas.Following the idealized studies,
the historical and current La Porte Anomaly was simulated to separate the land
surface from the aerosol factors near the Chicago area. The Urban RAMS model
was deployed on a real land surface with full model physics. Simulations with
1932, 1962, 1992, and 2012 land covers were run over an exceptionally wet Aug.
2007 to approximate the rain variability for an entire summer season. Surface
emissions were also varied in the 2012 land cover for variable aerosol loading.
The simulations successfully reproduced the location of the downwind rainfall
anomaly in each land cover scenario: farther east toward La Porte in 1932,
moving southwestward to its current location by 2012. Doubling surface
emissions eliminated the downwind anomaly, as was observed during the highest
pollution decade of the 1970s. Eliminating surface emissions also decreased the
downwind anomaly. As the land cover at the upwind edge of Chicago became more
connected from the 1932 to 2012 land cover scenarios, a local upwind rainfall
anomaly developed, moving westward with urban expansion. The results of these
simulations enabled the conclusions that a) at the upwind edge, the land
surface dominates urban rainfall modification, b) the aerosol loading sustains
and increases the locally downwind rainfall increase, and c) that the total
modification distance is static on given day and given urban footprint. A more
expansive city does not produce a rainfall anomaly more distantly downwind, but
rather the distance of rainfall modification moves to where the upwind edge of
the city begins.</p><p></p><p>The modeling work ends with a
two-city simulation in the southeast United States, of a bow-echo forming near
Memphis, TN and crossing Birmingham, AL before splitting. Simulations were
performed on different surface emissions rates, land covers where Birmingham
did not exist, and a novel approach with two inner emitting grids over both
Birmingham and Memphis. A storm tracking algorithm enabled one-to-one
comparisons of point simulated storm characteristics between scenarios. The
results of most scenarios only corroborated previous research, showing how
increased aerosol loading changes cloud and rainfall characteristics until the
highest aerosol loading shuts down riming and rainfall enhancement. However, the
two most accurate simulations, where the storm forms and splits over
Birmingham, were a non-urban higher rural aerosol scenario and the scenario
with Memphis also emitting pollution. In order to split the storm over
Birmingham, the upwind cloud characteristics were primed by higher upwind
aerosols, either from a realistic city upwind or unrealistically high rural
aerosols. The conclusions produced by this study demonstrated the importance of
aerosol cloud interaction, perhaps equal with land surface, but also the need
for far upwind information for a storm in a given city. Memphis and Birmingham
are separated by over 300km, far exceeding the threshold thought to connect two
cities by mutual rainfall modification.</p><p>The overall conclusions of the research presented in this dissertation shows a more unified approach to the effects of urban rainfall modification. The upwind edge of a city is a fixed location, and a thunderstorm begins modifying at that point. The thunderstorm usually produces a local rainfall maximum at the upwind edge, due to the vertical velocity of the urban land surface. The urban aerosols proceed to narrow the cloud droplet distribution, locally reducing rainfall as the storm passes over the urban area. Eventually the enhanced rainfall from enhanced riming produces a maximum somewhere downwind. However, “downwind” is a location relative to the storm’s motion and could exist anywhere over the urban footprint or downwind in a rural region. The climatological location of increased rainfall is an average of every storm in a season and beyond. The results of each part of the study provide a way to continue the research presented here.</p><br>
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Verification of simulated DSDs and sensitivity to CCN concentration in EnKF analysis and ensemble forecasts of the 30 April 2017 tornadic QLCS during VORTEX-SEConnor Paul Belak (10285328) 16 March 2021 (has links)
<p>Storms in the SE-US often evolve in different environments than those in the central Plains. Many poorly understood aspects of these differing environments may impact the tornadic potential of SE-US storms. Among these differences are potential variations in the CCN concentration owing to differences in land cover, combustion, industrial and urban activity, and proximity to maritime environments. The relative influence of warm and cold rain processes is sensitive to CCN concentration, with higher CCN concentrations producing smaller cloud droplets and more efficient cold rain processes. Cold rain processes result in DSDs with relatively larger drops from melting ice compared to warm rain processes. Differences in DSDs impact cold pool and downdraft size and strength, that influence tornado potential. This study investigates the impact of CCN concentration on DSDs in the SE-US by comparing DSDs from ARPS-EnKF model analyses and forecasts to observed DSDs from portable disdrometer-equipped probes collected by a collaboration between Purdue University, the University of Oklahoma (OU), the National Severe Storms Laboratory (NSSL), and the University of Massachusetts in a tornadic QLCS on 30 April 2017 during VORTEX-SE.</p><p>The ARPS-EnKF configuration, which consists of 40 ensemble members, is used with the NSSL triple-moment microphysics scheme. Surface and radar observations are both assimilated. Data assimilation experiments with CCN concentrations ranging from 100 cm<sup>-3</sup> (maritime) to 2,000 cm<sup>-3</sup> (continental) are conducted to characterize the variability of DSDs and the model output DSDs are verified against the disdrometer observations. The sensitivity of the DSD variability to CCN concentrations is evaluated. Results indicate continental CCN concentrations (close to CCN 1,000 cm<sup>3</sup>) produce DSDs that align closest to the observed DSDs. Other thermodynamic variables also accord better to observations in intermediate CCN concentration environments.</p>
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Boundary Layer Parametrization in Numerical Weather Prediction ModelsSvensson, Jacob January 2015 (has links)
Numerical weather prediction (NWP) and climate models have shown to have a challenge to correctly simulate stable boundary layers and diurnal cycles. This aim of this study is to evaluate, describe and give suggestions for improvements of the descriptions of stable boundary layers in operational NWP models. Two papers are included. Paper I focuses on the description of the surface and the interactions between the surface and the boundary layer in COAMPSR, a regional NWP model. The soil parametrization showed to be of great importance to the structure of the boundary layer. Moreover, it showed also that a low frequency of radiation calculations caused a bias in received solar energy at the surface. In paper II, the focus is on the formulation of the turbulent transport in stable boundary layers. There, an implementation of a diffusion parametrization based on the amount of turbulent kinetic energy (TKE) is tested in a single column model (SCM) version of the global NWP model Integrated Forecast System (IFS). The TKE parametrization turned out to behave similarly as the currently operational diffusion parametrization in convective regimes and neutral regimes, but showed to be less diffusive in weakly stable and stable conditions. The formulations of diffusion also turned out to be very dependent on the length scale formulation. If the turbulence and the gradients of wind temperature and wind are weak, the magnitude of turbulence can enter an oscillating mode. This oscillation can be avoided with the use of a lower limit of the length scale. / Det har visat sig att det är en stor utmaning för numeriska väderprognosmodeller (NWP-modeller) att simulera stabilt skiktade atmosfäriska gränsskikt och gränsskiktets dygnscykel på ett korrekt sätt. Syftet med denna studien är att utvärdera, beskriva och ge förslag på förbättringar av beskrivningen av gränsskiktet i NWP-modeller. Studien innehåller två artiklar. Den första fokuserar på beskrivningen av markytan och interaktionen mellan marken och gränsskiktet i den regionala NWP-modellen COAMPS R . Det visade sig att beskrivningen av markytan har en signifikant inverkan på gränsskiktets struktur. Det framkom också att strålningsberäkningarna endast görs en gång i timmen vilket bland annat orsakar en bias i inkommande solinstrålning vid markytan. Den andra artikeln fokuserar på beskrivningen av den turbulenta transporten i stabila skiktade gränsskikt. En implemenering av en diffusionsparametrisering som bygger på turbulent kinetisk energy (TKE) testas i en endimensionell version av NWP-modellen Integrated Forecast System (IFS), utvecklat vid European Center for Medium Range Weather Forecasts (ECMWF). Den TKE-baserade diffussionsparametriseringen är likvärdigt med den nuvaran de operationella parametriseringen i neutrala och konvektiva gränsskikt, menär mindre diffusivt i stabila gränsskikt. Diffusionens intensitet är beroende påden turbulenta längdskalan. Vidare kan turbulensen i TKE-formuleringen hamna i ett oscillerande läge om turbulensen är svag samtidigt som temperatur- och vindgradienten är kraftig. Denna oscillation kan förhindras om längdskalans minsta tillåtna värde begränsas.
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Ensemble Flood Forecasting using High-Resolution Ensemble Numerical Weather Prediction with Radar Based Prediction Considering Rainfall Forecast Uncertainty / 降雨予測の不確実性を考慮に入れた高解像度数値予報とレーダー予測を用いたアンサンブル洪水予測Yu, Wansik 24 September 2014 (has links)
京都大学 / 0048 / 新制・課程博士 / 博士(工学) / 甲第18564号 / 工博第3925号 / 新制||工||1603(附属図書館) / 31464 / 京都大学大学院工学研究科社会基盤工学専攻 / (主査)教授 中北 英一, 准教授 KIM Sunmin, 教授 角 哲也 / 学位規則第4条第1項該当 / Doctor of Philosophy (Engineering) / Kyoto University / DFAM
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Synoptic-scale identification and classification of lake-effect snowstorms off the North American Great LakesWiley, Jacob 13 May 2022 (has links) (PDF)
The lee shores of the North American Great Lakes are subject to hazardous amounts of snowfall each winter as continental polar air masses are destabilized by the relatively warmer lakes which manifests as pronounced heat and moisture fluxes and subsequent convection and snow generation. This phenomenon, known as lake-effect snow (LES), has been studied by the atmospheric scientific community extensively as the local and mesoscale processes are becoming better understood through the implementation of in situ research projects and high-resolution numerical weather prediction models. However, considerably less research effort has inquired on what large-scale conditions are linked with lake-effect snow. The objective of this dissertation is to develop a more comprehensive understanding of the synoptic-scale conditions associated with lake-effect snowstorms and how they differentiate with non-LES winter storms. Chapter 1 provides a brief introduction to LES and reviews the basic dynamics of LES formation in the form of a comprehensive literature review. Chapter 2 consists of the first synoptic climatologies of lake-effect snowstorms off Lakes Michigan and Superior through statistical analysis of past lake-effect cases off those two lakes. Chapter 3 focuses on developing a synoptic climatology of wintertime cyclonic systems, specifically Alberta Clippers, that traversed the Great Lakes basin but did not result in lake-effect snow formation. Chapter 4 features the development of an objective classification model that differentiates between these two winter weather phenomena by using past LES and non-LES winter storm case repositories to train and test the model. This research effort will focus on wintertime Alberta Clipper systems and LES off Lakes Erie and Ontario. Finally, Chapter 5 reviews the primary results from this research and discusses their significance and implications regarding possible future research.
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Data Assimilation for Systems with Multiple TimescalesVicente Ihanus, Dan January 2023 (has links)
This text provides an overview of problems in the field of data assimilation. We explore the possibility of recreating unknown data by continuously inserting known data into certain dynamical systems, under certain regularity assumptions. Additionally, we discuss an alternative statistical approach to data assimilation and investigate the utilization of the Ensemble Kalman Filter for assimilating data into dynamical models. A key challenge in numerical weather prediction is incorporating convective precipitation into an idealized setting for numerical computations. To answer this question we examine the modified rotating shallow water equations, a nonlinear coupled system of partial differential equations and further assess if this primitive model accurately mimics phenomena observed in operational numerical weather prediction models. Numerical experiments conducted using a Deterministic Ensemble Kalman Filter algorithm support its applicability for convective-scale data assimilation. Furthermore, we analyze the frequency spectrum of numerical forecasts using the Wavelet transform. Our frequency analysis suggests that, under certain experimental settings, there are similarities in the initialization of operational models, which can aid in understanding the problem of intialization of numerical weather prediction models.
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